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Finding the Fourth Proportional to 9,960.16, 14,942.06 and 4,117.23

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Solution

The fourth proportional to 9,960.16, 14,942.06 and 4,117.23 is: 6,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.16 : 14,942.06 = 4,117.23 : x
  2. Step 2: Convert to fraction form
    9,960.16/14,942.06 = 4,117.23/x
  3. Step 3: Cross multiply
    9,960.16x = 14,942.06 × 4,117.23
  4. Step 4: Simplify right side
    9,960.16x = 61,519,822.98
  5. Step 5: Solve for x
    x = 61,519,822.98/9,960.16
  6. Step 6: Final answer
    x = 6,176.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.